with \(Q_{0}(z)=1\) , \(Q_{1}(z)=z\) , and the prime denoting the derivative. Later, a determinant expression for these polynomials was found in [1]}. Let \(p_{k}(z)\)  be the special Schur polynomial defined by
\(\sum _{k=0}^{\infty }p_k(z) \epsilon ^k =\exp \left( z \epsilon - \frac{4}{3}\epsilon ^3 \right).\) 
